Mathematics J560,04 Higher June 2017

1. Algebra and Equations | Solving quadratic equations by factorization and using the quadratic formula, simplifying expressions, expanding and completing the square, and finding nth-term rules for sequences.

2. Geometry and Trigonometry | Bearings and distances between points, calculating perimeters and areas involving circles and composite shapes, using sine and cosine rules, and working with coordinate transformations.

3. Statistics and Probability | Constructing and interpreting cumulative frequency graphs, probability tree diagrams, time series analysis, and determining conditions for statistical significance.

4. Graphs and Functions | Analyzing speed-time graphs, estimating acceleration, interpreting proportional relationships, solving simultaneous equations graphically, and working with quadratic and circular graphs.

5. Number Theory and Arithmetic | Prime factorization, lowest common multiples (LCM), error intervals, percentage error calculations, and manipulating surds.

6. Applied Mathematics and Mechanics | Using kinematic equations for motion, evaluating proportional relationships, and estimating distances and velocities from graphical data.